Answer
$(2,\dfrac{1}{2})$
Work Step by Step
$ 3x-4y= 4 ~~~(1)$
$x-3y=\dfrac{1}{2} ~~~(2)$
Multiply equation (1) by $3$ and equation (2) by $-4$, and then add the two equations to evaluate the value of $x$.
$5x=10 \implies x=2$
Plug $x=2$ back into one of the equations and solve for y.
Thus, $(3)(2)-4y=4 \implies y= \dfrac{1}{2}$
Therefore, $(x,y)=(2,\dfrac{1}{2})$
